5511579579000 has 512 divisors, whose sum is σ = 20864805811200. Its totient is φ = 1334793600000.

The previous prime is 5511579578993. The next prime is 5511579579001. The reversal of 5511579579000 is 9759751155.

It is a happy number.

5511579579000 is a `hidden beast` number, since 5 + 5 + 11 + 57 + 9 + 579 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5511579579001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 312138172 + ... + 312155828.

It is an arithmetic number, because the mean of its divisors is an integer number (40751573850).

Almost surely, 2^{5511579579000} is an apocalyptic number.

5511579579000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5511579579000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10432402905600).

5511579579000 is an abundant number, since it is smaller than the sum of its proper divisors (15353226232200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5511579579000 is a wasteful number, since it uses less digits than its factorization.

5511579579000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18749 (or 18729 counting only the distinct ones).

The product of its (nonzero) digits is 2480625, while the sum is 54.

The spelling of 5511579579000 in words is "five trillion, five hundred eleven billion, five hundred seventy-nine million, five hundred seventy-nine thousand".